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Interpretations of Probability in Quantum Mechanics: A Case of “Experimental Metaphysics”

In Wayne C. Myrvold & Joy Christian (eds.), Quantum Reality, Relativistic Causality, and Closing the Epistemic Circle. Springer. pp. 211--227 (2009)

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  1. A philosopher's understanding of quantum mechanics: possibilities and impossibilities of a modal interpretation.Pieter E. Vermaas - 1999 - New York: Cambridge University Press.
    This book is about how to understand quantum mechanics by means of a modal interpretation. Modal interpretations provide a general framework within which quantum mechanics can be considered as a theory that describes reality in terms of physical systems possessing definite properties. Quantum mechanics is standardly understood to be a theory about probabilities with which measurements have outcomes. Modal interpretations are relatively new attempts to present quantum mechanics as a theory which, like other physical theories, describes an observer-independent reality. In (...)
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  • (1 other version)Appearance and reality: an introduction to the philosophy of physics.Peter Kosso - 1998 - New York: Oxford University Press.
    Appearance and Reality: An Introduction to the Philosophy of Physics addresses quantum mechanics and relativity and their philosophical implications, focusing on whether these theories of modern physics can help us know nature as it really is, or only as it appears to us. The author clearly explains the foundational concepts and principles of both quantum mechanics and relativity and then uses them to argue that we can know more than mere appearances, and that we can know to some extent the (...)
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  • (1 other version)Betting on the outcomes of measurements: A bayesian theory of quantum probability.Itamar Pitowsky - 2002 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 34 (3):395-414.
    We develop a systematic approach to quantum probability as a theory of rational betting in quantum gambles. In these games of chance, the agent is betting in advance on the outcomes of several (finitely many) incompatible measurements. One of the measurements is subsequently chosen and performed and the money placed on the other measurements is returned to the agent. We show how the rules of rational betting imply all the interesting features of quantum probability, even in such finite gambles. These (...)
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  • Modal interpretations and relativity.Wayne C. Myrvold - 2002 - Foundations of Physics 32 (11):1773-1784.
    A proof is given, at a greater level of generality than previous 'no-go' theorems, of the impossibility of formulating a modal interpretation that exhibits 'serious' Lorentz invariance at the fundamental level. Particular attention is given to modal interpretations of the type proposed by Bub.
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  • Einstein and bell: Strengthening the case for microphysical randomness.Geoffrey Hellman - 1982 - Synthese 53 (3):445 - 460.
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  • The Everett interpretation of quantum mechanics: Many worlds or none?Howard Stein - 1984 - Noûs 18 (4):635-652.
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  • Is probability a dispositional property?Lawrence Sklar - 1970 - Journal of Philosophy 67 (11):355-366.
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  • On the physical significance of the locality conditions in the bell arguments.Jon P. Jarrett - 1984 - Noûs 18 (4):569-589.
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  • How many worlds?Richard A. Healey - 1984 - Noûs 18 (4):591-616.
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  • The Bare Theory Has No Clothes.Jeffrey Bub, Rob Clifton & Bradley Monton - 1998 - In Richard Healey & Geoffrey Hellman (eds.), Quantum Measurement: Beyond Paradox. University of Minnesota Press. pp. 32-51.
    We criticize the bare theory of quantum mechanics -- a theory on which the Schrödinger equation is universally valid, and standard way of thinking about superpositions is correct.
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  • The Philosophy of Quantum Mechanics: An Interactive Interpretation.Richard Healey - 1989 - New York: Cambridge University Press.
    This is one of the most important books on quantum mechanics to have appeared in recent years. It offers a dramatically new interpretation that resolves puzzles and paradoxes associated with the measurement problem and the behavior of coupled systems. A crucial feature of this interpretation is that a quantum mechanical measurement can be certain to have a particular outcome even when the observed system fails to have the property corresponding to that outcome just prior to the measurement interaction.
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  • Everett and structure.David Wallace - 2003 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 34 (1):87-105.
    I address the problem of indefiniteness in quantum mechanics: the problem that the theory, without changes to its formalism, seems to predict that macroscopic quantities have no definite values. The Everett interpretation is often criticised along these lines, and I shall argue that much of this criticism rests on a false dichotomy: that the macroworld must either be written directly into the formalism or be regarded as somehow illusory. By means of analogy with other areas of physics, I develop the (...)
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  • (1 other version)Appearance and Reality: An Introduction to the Philosophy of Physics.Peter Kosso - 1997 - New York: Oxford University Press USA.
    Appearance and Reality: An Introduction to the Philosophy of Physics addresses quantum mechanics and relativity and their philosophical implications, focusing on whether these theories of modern physics can help us know nature as it really is, or only as it appears to us. The author clearly explains the foundational concepts and principles of both quantum mechanics and relativity and then uses them to argue that we can know more than mere appearances, and that we can know to some extent the (...)
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  • Quantum Mechanics and Experience.David Z. Albert - 1992 - Harvard Up.
    Presents a guide to the basics of quantum mechanics and measurement.
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  • Relativistic Invariance and Modal Interpretations.John Earman & Laura Ruetsche - 2005 - Philosophy of Science 72 (4):557-583.
    A number of arguments have been given to show that the modal interpretation of ordinary nonrelativistic quantum mechanics cannot be consistently extended to the relativistic setting. We find these arguments inconclusive. However, there is a prima facie reason to think that a tension exists between the modal interpretation and relativistic invariance; namely, the best candidate for a modal interpretation adapted to relativistic quantum field theory, a prescription due to Rob Clifton, comes out trivial when applied to a number of systems (...)
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  • The Everett interpretation.Robert Geroch - 1984 - Noûs 18 (4):617-633.
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  • (1 other version)The Theory of the Universal Wavefunction.Hugh Everett - 1973 - In B. DeWitt & N. Graham (eds.), The Many-Worlds Interpretation of Quantum Mechanics. Princeton UP.
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